Degenerate Analogues of Euler Zeta, Digamma, and Polygamma Functions
Joint Authors
Abdalla, M.
He, Fuli
Bakhet, Ahmed
Akel, Mohamed
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In recent years, much attention has been paid to the role of degenerate versions of special functions and polynomials in mathematical physics and engineering.
In the present paper, we introduce a degenerate Euler zeta function, a degenerate digamma function, and a degenerate polygamma function.
We present several properties, recurrence relations, infinite series, and integral representations for these functions.
Furthermore, we establish identities involving hypergeometric functions in terms of degenerate digamma function.
American Psychological Association (APA)
He, Fuli& Bakhet, Ahmed& Akel, Mohamed& Abdalla, M.. 2020. Degenerate Analogues of Euler Zeta, Digamma, and Polygamma Functions. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1201477
Modern Language Association (MLA)
He, Fuli…[et al.]. Degenerate Analogues of Euler Zeta, Digamma, and Polygamma Functions. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1201477
American Medical Association (AMA)
He, Fuli& Bakhet, Ahmed& Akel, Mohamed& Abdalla, M.. Degenerate Analogues of Euler Zeta, Digamma, and Polygamma Functions. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1201477
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201477